Travel
There are typically more flight options flying into the Albuquerque Sunport versus Santa Fe airport. There is a tram (the rail runner) that runs from Albuquerque to Santa Fe.
Hotel options listed as closest to the Chapel to farthest away:
La Fonda on the Plaza
100 E San Francisco St, Santa Fe, NM 87501
Inn & Spa at Loretto
211 Old Santa Fe Trl, Santa Fe, NM 87501
(Both La Fonda and the Inn at Loretto are walkable.)
Hilton Santa Fe Historic Plaza
100 Sandoval St, Santa Fe, NM 87501
(A few blocks from the chapel)
Villas de Santa Fe
400 Griffin St, Santa Fe, NM 87501
There are many cute and afforable AirBNB and VRBO options nearby as well.